On the equivalence of Lie symmetries and group representations

DOI10.1016/j.jde.2010.02.003zbMath1260.35239OpenAlexW2122573792MaRDI QIDQ984435

M. J. Craddock, Anthony H. Dooley

Publication date: 19 July 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10453/13015

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Second-order parabolic equations (35K10) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (8)

Fourier type transforms on Lie symmetry groups ⋮ New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic pdes ⋮ Lie symmetry methods for local volatility models ⋮ Algorithmic framework for group analysis of differential equations and its application to generalized Zakharov-Kuznetsov equations ⋮ Global \(\widetilde{\text{SL}(2,R)}\) representations of the Schrödinger equation with singular potential ⋮ Lie symmetry methods for multi-dimensional parabolic PDEs and diffusions ⋮ Fundamental solutions, transition densities and the integration of Lie symmetries ⋮ Globalization of the actions of the Lie symmetries of nonlinear wave equations with dissipation

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